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Search for non-Abelian statistics in half-filled Landau levels of graphene

Wójs, Arkadiusz, Möller, Gunnar, Cooper, N R (2011) Search for non-Abelian statistics in half-filled Landau levels of graphene. Journal of Physics: Conference Series, 334 . 012048. ISSN 1742-6588. E-ISSN 1742-6596. (doi:10.1088/1742-6596/334/1/012048)

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We have employed large scale exact numerical diagonalization in Haldane spherical geometry in a comparative analysis of the correlated many-electron states in the half-filled low Landau levels of graphene and such conventional semiconductors as GaAs, including both spin and valley (i.e., pseudospin) degrees of freedom. We present evidence that the polarized Fermi sea of essentially non-interacting composite fermions remains stable against a pairing transition in both lowest Landau levels of graphene. However, it undergoes spontaneous depolarization, which in (ideal) graphene is unprotected for the lack of a single-particle pseudospin splitting. These results point to the absence of the non-Abelian Pfaffian phase in graphene.

Item Type: Article
DOI/Identification number: 10.1088/1742-6596/334/1/012048
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 11 Dec 2017 13:47 UTC
Last Modified: 05 Jul 2019 10:26 UTC
Resource URI: (The current URI for this page, for reference purposes)
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